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vova2212
1 month ago
10

which table represents viable solutions for y=5x, where x is the number of tickets sold for the school play a y is the amount of

money collected for the tickets?

Mathematics
1 answer:
AnnZ [12.3K]1 month ago
8 0

Given:

The equation at hand is:

y=5x

In this context, x represents the total tickets sold for the school play, while y indicates the total revenue generated from ticket sales.

To find:

The appropriate table of values from the provided options.

Solution:

It's clear that both the number of tickets and the revenue collected cannot be negative, which means that options A and B are not viable.

We have:

y=5x

For x=0,

y=5(0)

y=0

For x=10,

y=5(10)

y=50

For x=51,

y=5(51)

y=255

For x=400,

y=5(400)

y=2000

In option C, the ordered pairs (0,0), (10,50), (51,255), (400,2000) are present in the table. Thus, option C is the correct choice.

For x=65

y=5(65)

y=325

As the ordered pair (65,350) does not fulfill the requirements of the equation, thus option D is incorrect.

Consequently, the right option is C.

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Answer and explanation:

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1 month ago
Orange M&M’s: The M&M’s web site says that 20% of milk chocolate M&M’s are orange. Let’s assume this is true and set
Zina [12379]

Answer:

The answer is option (A).

Step-by-step explanation:

Let X represent the count of orange milk chocolate M&M’s.

The proportion of orange milk chocolate M&M’s is defined as p = 0.20.

In a small bag containing milk chocolate M&M’s, n is established at 55.The occurrence of an orange milk chocolate M&M is independent of the remaining candies.

The random variable X conforms to a Binomial distribution characterized by parameters n = 55 and p = 0.20.

Calculating the average number of orange milk chocolate M&M’s in a package of 55 candies proceeds as follows:

E(X)=np

It is noted that in a randomly selected pack of milk chocolate M&M's there were 14 orange M&M's, indicating that the ratio of orange milk chocolate M&M's in that selection was 25.5%.

This ratio is not unexpected.

This is due to the expected count of orange milk chocolate M&M’s in a 55 candy bag being estimated at 11. Therefore, encountering 14 orange milk chocolate M&M’s does not seem unusual.

Unusual instances typically have exceedingly low probabilities, specifically below 0.05.

To calculate the probability of having P (X ≥ 14), follow the subsequent calculation:

P(X\geq 14)=\sum\limits^{55}_{x=14}{{55\choose x}0.20^{x}(1-0.20)^{55-x}}

The likelihood of obtaining 14 or more orange candies in a milk chocolate M&M’s bag is 0.1968.

This probability is considerably higher than 0.05.

Thus, the correct answer is option (A).

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11 days ago
On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (
AnnZ [12381]

Answer:

B. Located at the intersection of 10th Street and 17th Avenue.

Step-by-step explanation:

The point (x,y) that divides segment AB with endpoints at A(x_1,y_1) and B(x_2,y_2) in the specified ratio m:n has coordinates

x=\dfrac{nx_1+nx_2}{m+n}\\ \\y=\dfrac{ny_1+ny_2}{m+n}

In this scenario,

T(4,8)

L(12,20)

The fruit market (F) is located three-fourths of the way from Tia’s residence to Lei's residence, hence TM:TL=3:4 or TM:ML=3:1

Therefore,

x=\dfrac{1\cdot 4+3\cdot 12}{3+1}=\dfrac{4+36}{4}=\dfrac{40}{4}=10\\ \\y=\dfrac{1\cdot 8+3\cdot 20}{3+1}=\dfrac{8+60}{4}=\dfrac{68}{4}=17

Thus, the fruit market lies at the location F(10,17) meaning it’s situated at the intersection of 10th Street and 17th Avenue.

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22 days ago
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56. Mikayla is filling a glass sphere with water.
Inessa [12570]

Answer:

The least quantity of water needed to fill the sphere is 904.32\ in^{3}

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We know that

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V=\frac{4}{3}\pi r^{3}

We have

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Let’s assume

\pi =3.14

Now substitute

V=\frac{4}{3}(3.14)(6)^{3}

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1 month ago
sarah invests £9600 at a simple interest rate of 8% per year. Work out the value of the investment after 3 years
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Response:

The investment's value after 3 years will be  £11,904

Step-by-step explanation:

sarah invests £9600 with an 8% simple interest rate per annum

Duration is 3 years

Formula for simple interest

I = P*n* r

P is the initial investment= 9600

r signifies interest rate = 8% = 0.08

n = duration in years = 3

Now, we can calculate the interest using the formula

I = 9600 * 0.08 * 3= 2304

The interest accrued totals 2,304

Now, we combine the interest with the initial investment to find the investment's total value after 3 years

9600 + 2304= 11904

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9 days ago
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